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A.) For this problem, carry at least four digits after the decimal in your calculations. Answers...

A.) For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.
In a random sample of 68 professional actors, it was found that 42 were extroverts.

(1) Let p represent the proportion of all actors who are extroverts. Find a point estimate for p. (Round your answer to four decimal places.)

(2) Find a 95% confidence interval for p. (Round your answers to two decimal places.)

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B.) For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.
In a random sample of 514 judges, it was found that 277 were introverts.

(1) Let p represent the proportion of all judges who are introverts. Find a point estimate for p. (Round your answer to four decimal places.)

(2) Find a 99% confidence interval for p. (Round your answers to two decimal places.)

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C.)For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.
Santa Fe black-on-white is a type of pottery commonly found at archaeological excavations at a certain monument. At one excavation site a sample of 602 potsherds was found, of which 360 were identified as Santa Fe black-on-white.

(1) Let p represent the proportion of Santa Fe black-on-white potsherds at the excavation site. Find a point estimate for p. (Round your answer to four decimal places.)

(2) Find a 95% confidence interval for p. (Round your answers to three decimal places.)

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D.) For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.
A random sample of 5427 physicians in Colorado showed that 3116 provided at least some charity care (i.e., treated poor people at no cost).

(1) Let p represent the proportion of all Colorado physicians who provide some charity care. Find a point estimate for p. (Round your answer to four decimal places.)

(2) Find a 99% confidence interval for p. (Round your answers to three decimal places.)

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E.) For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.
In a combined study of northern pike, cutthroat trout, rainbow trout, and lake trout, it was found that 36 out of 830 fish died when caught and released using barbless hooks on flies or lures. All hooks were removed from the fish.

(1) Let p represent the proportion of all pike and trout that die (i.e., p is the mortality rate) when caught and released using barbless hooks. Find a point estimate for p. (Round your answer to four decimal places.)

(2) Find a 99% confidence interval for p. (Round your answers to three decimal places.)

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